# Loss for binary classification ```toc ``` - Two classes - Probability distribution - [Bernoulli Distribution](Bernoulli%20Distribution.md) - Training -> Model to predict $\lambda$, but these values might not lie in [0,1] and we need it to. -> [Sigmoid](Sigmoid.md) - [Cross Entropy](Cross%20Entropy.md) - ![](Pasted%20image%2020240828101513.webp) - This represents the probability that y = 1, and it follows that 1 − λ represents the probability that y = 0. When we perform inference, we may want a point estimate of y, so we set y = 1 if λ > 0.5 and y = 0 otherwise. - ![](Pasted%20image%2020240828101723.webp)